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http://dx.doi.org/10.6109/jkiice.2015.19.2.450

Maximizing the Sum of Weights of Points in a Given Square  

Kim, Jae-Hoon (Department of Computer Engineering, Busan University of Foreign Studies)
Abstract
In this paper, when points with weights are given in a plane, for an arbitrary constant r, we shall find a square area S such that the sum of weights of points belonging to S is maximized. If the length of the side of S is not given, the problem to find arbitrary rectangular area has been studied. In this paper, we will consider the problem to find a square area with a side of a length r when a constant r is given. We will solve the one dimensional problem in dynamic environment and propose an algorithm with the time complexity of O(nlogn+rn).
Keywords
weight; square area; time complexity; algorithm; dynamic environment;
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